On two inequalities of Cebysev
Abstract
In this work, several sharp bounds for the Cebysev functional involving various type of functions are proved. In particular, for the Cebysev functional of two absolutely continuous functions whose first derivatives are both convex, convex and belong to Lp-spaces, convex and bounded variation, convex and Lipschitz mappings new sharp bounds are presented. Other related results regarding two convex and concave functions are given.
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